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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 176400dm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.h1 | 176400dm1 | \([0, 0, 0, -54742800, -256911802000]\) | \(-1376628736/1366875\) | \(-18014271456457080000000000\) | \([]\) | \(36126720\) | \(3.5419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400dm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400dm do not have complex multiplication.Modular form 176400.2.a.dm
sage: E.q_eigenform(10)